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252683496 = 233313292107
BaseRepresentation
bin11110000111110…
…10010011101000
3122121110122121000
433003322103220
51004141332441
641023515000
76155526402
oct1703722350
9577418530
10252683496
1111a6a693a
1270758a60
1340471c80
14257b7b72
15172b42b6
hexf0fa4e8

252683496 has 192 divisors, whose sum is σ = 790171200. Its totient is φ = 74366208.

The previous prime is 252683491. The next prime is 252683503. The reversal of 252683496 is 694386252.

252683496 is a `hidden beast` number, since 2 + 526 + 8 + 34 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (252683491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361475 + ... + 2361581.

It is an arithmetic number, because the mean of its divisors is an integer number (4115475).

Almost surely, 2252683496 is an apocalyptic number.

252683496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252683496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395085600).

252683496 is an abundant number, since it is smaller than the sum of its proper divisors (537487704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252683496 is a wasteful number, since it uses less digits than its factorization.

252683496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 252683496 is about 15896.0213890143. The cubic root of 252683496 is about 632.2065033138.

The spelling of 252683496 in words is "two hundred fifty-two million, six hundred eighty-three thousand, four hundred ninety-six".